8x+2/6+2=2x-4/8 eching

$$\frac{ 8x+2 }{ 6 } +2 = \frac{ 2x-4 }{ 8 }$$

x uchun yechish

$$x = -\frac{34}{13} = -2\frac{8}{13} \approx -2,615384615$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 24 ga, 6,8 ning eng kichik karralisiga ko‘paytiring.

$$4\left(8x+2\right)+48=3\left(2x-4\right)$$

4 ga 8x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$32x+8+48=3\left(2x-4\right)$$

56 olish uchun 8 va 48'ni qo'shing.

$$32x+56=3\left(2x-4\right)$$

3 ga 2x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$32x+56=6x-12$$

Ikkala tarafdan 6x ni ayirish.

$$32x+56-6x=-12$$

26x ni olish uchun 32x va -6x ni birlashtirish.

$$26x+56=-12$$

Ikkala tarafdan 56 ni ayirish.

$$26x=-12-56$$

-68 olish uchun -12 dan 56 ni ayirish.

$$26x=-68$$

Ikki tarafini 26 ga bo‘ling.

$$x=\frac{-68}{26}$$

\frac{-68}{26} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{34}{13}$$